3743189342144 has 112 divisors (see below), whose sum is σ = 8972892107520. Its totient is φ = 1513484144640.

The previous prime is 3743189342143. The next prime is 3743189342147. The reversal of 3743189342144 is 4412439813473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3743189342144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3743189342143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139039 + ... + 2963745.

Almost surely, 2^{3743189342144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3743189342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486446053760).

3743189342144 is an abundant number, since it is smaller than the sum of its proper divisors (5229702765376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3743189342144 is a wasteful number, since it uses less digits than its factorization.

3743189342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824986 (or 1824976 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 53.

The spelling of 3743189342144 in words is "three trillion, seven hundred forty-three billion, one hundred eighty-nine million, three hundred forty-two thousand, one hundred forty-four".